The single crystals of the topological material candidate EuZnBi \(_{2}\) have been grown using flux method, and the magnetic properties have been systematically investigated. Crystal structure analysis confirms that EuZnBi \(_{2}\) crystallizes in a layered tetragonal structure at room temperature, consisting of alternating ZnBi \(_{4}\) tetrahedral and Bi planar layers, separated by Eu atoms. The direct current (DC) magnetic susceptibility, alternating current (AC) magnetic susceptibility, and specific heat measurements indicate that a long-range antiferromagnetic order of Eu \(^{2+}\) develops at T \(_{N}\) = 20 K and the magnetic easy axis exists in the layers. It is interesting to note that EuZnBi \(_{2}\) exhibits a magnetic anomaly below T \(_{N}\) , which might be associated with the tilting of Eu moments and spin reorientation.